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Finding the Third Proportional to 603,684 and 816,948

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Solution

The third proportional to 603,684 and 816,948 is: 1,105,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,684 : 816,948 = 816,948 : x
  2. Step 2: Convert to fraction form
    603,684/816,948 = 816,948/x
  3. Step 3: Cross multiply
    603,684x = 816,948 × 816,948
  4. Step 4: Simplify right side
    603,684x = 667,404,034,704
  5. Step 5: Solve for x
    x = 667,404,034,704/603,684
  6. Step 6: Final answer
    x = 1,105,551.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.